We study the noise-driven Van der Pol oscillator whose dissipative term yields stationary distributions of the q-exponential form. The thermostatistical observables such as internal energy and temperature are also calculated. Since this model depends on a control parameter which acts as a...

We examine both the dynamical and the multifractal properties at the chaos threshold of logistic maps with general nonlinearity z1. First we determine analytically the sensitivity to initial conditions ξt. Then we consider a renormalization group operation on the partition function Z of the...